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Atlas › Integer Profiles › Node 15,027,712

15,027,712

29 × 72 × 599
Abundant Even Composite

15,027,712 factors as 2^9 × 7^2 × 599. Its 60 positive divisors give a proper-divisor sum of 19,958,888, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^9 × 7^2 × 599
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 34,986,600
Proper Divisor Sum 19,958,888
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #15027709 ← → #15027743

Radix Representation

Decimal 15027712
Binary 111001010100111000000000 (24 bits)
Octal 0o71247000
Hexadecimal 0xE54E00

Divisor Catalog (60)

1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 599 784 896 1,198 1,568 1,792 2,396 3,136 3,584 4,193 4,792 6,272 8,386 9,584 12,544 16,772 19,168 25,088 29,351 33,544 38,336 58,702 67,088 76,672 117,404 134,176 153,344 234,808 268,352 306,688 469,616 536,704 939,232 1,073,408 1,878,464 2,146,816 3,756,928 7,513,856 15,027,712

Collatz Trajectory (187 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

15,027,712 7,513,856 3,756,928 1,878,464 939,232 469,616 234,808 117,404 58,702 29,351 88,054 44,027 132,082 66,041 198,124 99,062 49,531 148,594 74,297 222,892 111,446 55,723 167,170 83,585 250,756 125,378 62,689 188,068 94,034 47,017 141,052 70,526 35,263 105,790 52,895 158,686 79,343 238,030 119,015 357,046 178,523 535,570 267,785 803,356 401,678 200,839 602,518 301,259 903,778 451,889 1,355,668 677,834 338,917 1,016,752 508,376 254,188 127,094 63,547 190,642 95,321

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